DocumentCode
1357859
Title
Autoregressive equivalents of rank order processors
Author
Butz, Arthur R.
Author_Institution
Dept. of Electr. Eng. & Comput. Sci., Northwestern Univ., Evanston, IL, USA
Volume
38
Issue
6
fYear
1990
fDate
6/1/1990 12:00:00 AM
Firstpage
1050
Lastpage
1052
Abstract
A theory is presented which shows that any rank order processor (ROP) specified as a positive regular set over the binary alphabet, and any ROP implementable via a stack encoding as input to identical finite-set sequential machines, is also implementable in finite autoregressive form with conventional input encoding, provided an internal state vector is properly defined. Any such ROP algorithm can be factored into computations of the median of three values. The theory also shows how ROPs may be derived from arbitrary partially ordered finite sets
Keywords
filtering and prediction theory; finite automata; set theory; signal processing; time series; binary alphabet; finite autoregressive form; finite-set sequential machines; internal state vector; partially ordered finite sets; positive regular set; rank order processors; signal processor; stack encoding; Acoustics; Automata; Encoding; Filters; Lattices; Mathematical model; Polynomials; Signal processing; Signal processing algorithms; Speech;
fLanguage
English
Journal_Title
Acoustics, Speech and Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
0096-3518
Type
jour
DOI
10.1109/29.56065
Filename
56065
Link To Document